Find the x and y Intercepts (2x-3)/(3x-4)

$\frac{2 x - 3}{3 x - 4}$

Step 1

Write $\frac{2 x - 3}{3 x - 4}$ as an equation.

$y = \frac{2 x - 3}{3 x - 4}$

Step 2

Find the x-intercepts.

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$0 = \frac{2 x - 3}{3 x - 4}$

Solve the equation.

Set the numerator equal to zero.

$2 x - 3 = 0$

Solve the equation for $x$ .

Add $3$ to both sides of the equation.

$2 x = 3$

Divide each term in $2 x = 3$ by $2$ and simplify.

Divide each term in $2 x = 3$ by $2$ .

$\frac{2 x}{2} = \frac{3}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{3}{2}$

Divide $x$ by $1$ .

$x = \frac{3}{2}$

x-intercept(s) in point form.

x-intercept(s): $(\frac{3}{2}, 0)$

Step 3

Find the y-intercepts.

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$y = \frac{2 (0) - 3}{3 (0) - 4}$

Solve the equation.

Remove parentheses.

$y = \frac{2 (0) - 3}{3 (0) - 4}$

Simplify $\frac{2 (0) - 3}{3 (0) - 4}$ .

Simplify the numerator.

Multiply $2$ by $0$ .

$y = \frac{0 - 3}{3 (0) - 4}$

Subtract $3$ from $0$ .

$y = \frac{- 3}{3 (0) - 4}$

Simplify the denominator.

Multiply $3$ by $0$ .

$y = \frac{- 3}{0 - 4}$

Subtract $4$ from $0$ .

$y = \frac{- 3}{- 4}$

Dividing two negative values results in a positive value.

$y = \frac{3}{4}$

y-intercept(s) in point form.

y-intercept(s): $(0, \frac{3}{4})$

Step 4

List the intersections.

x-intercept(s): $(\frac{3}{2}, 0)$

y-intercept(s): $(0, \frac{3}{4})$

Step 5

Find the x and y Intercepts (2x-3)/(3x-4)

Related Questions

Support LCMGCF.com by disabling your adblocker.